Abstract

The transverse-momentum-integrated elliptic flow of charged particles at midrapidity, \( v_{2}\) (charged), and that of identified hadrons from Au+Au collisions are analyzed in the range of incident energies relevant to the Nuclotron-based Ion Collider Facility (NICA). Simulations are performed within a three-fluid model employing three different equations of state (EoSs): a purely hadronic EoS and two versions of the EoS involving the deconfinement transition--a first-order phase transition and a smooth crossover one. The present simulations demonstrate low sensitivity of \( v_{2}\) (charged) to the EoS. All considered scenarios equally well reproduce recent STAR data on \( v_{2}\) (charged) for mid-central Au+Au collisions and properly describe its change of sign at the incident energy decrease below \(\sqrt{s_{NN}} \approx 3.5\) GeV. The predicted integrated elliptic flow of various species exhibits a stronger dependence on the EoS. A noticeable sensitivity to the EoS is found for anti-protons and, to a lesser extent, for \( K^{-}\) mesons. Presently there are no experimental data that could verify these predictions. Future experiments at NICA could corroborate these findings.

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